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Halphen gaps and good space curves

Jan O. Kleppe (1998)

Bollettino dell'Unione Matematica Italiana

In questo articolo dimostriamo l'esistenza di curve "buone e generali" di grado d e genere g che giacciono su di una superfice liscia di grado s , per ogni s 4 , d s 2 , e g in un certo intervallo vicino al genere massimo.

Hasse-Witt matrices and Kummer extension

Francis J. Sullivan (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A simple calculation of the Hasse-Witt matrix is used to give examples of curves which are Kummer coverings of the projective line and which have easily determined p-rank. A family of curve carrying non-classical vector bundles of rank 2 is also given.

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